Calculate (3/2)² : Square of a Fraction Problem

To solve this problem, we will follow these steps:

• Step 1: Square the numerator $3$.
• Step 2: Square the denominator $2$.
• Step 3: Simplify the resulting fraction if needed.

Let's solve the problem:

Step 1: The numerator is $3$. Squaring $3$ gives us:

$3^2 = 9$

Step 2: The denominator is $2$. Squaring $2$ gives us:

$2^2 = 4$

Step 3: We now write the fraction as:

$\left(\frac{3}{2}\right)^2 = \frac{9}{4}$

To express $\frac{9}{4}$ as a mixed number, we divide $9$ by $4$:

$9$ divided by $4$ is $2$ with a remainder of $1$. Thus, $\frac{9}{4}$ can be expressed as:

$2\frac{1}{4}$

Therefore, the solution to the problem is:

$2\frac{1}{4}$

The correct choice according to given possible answers is choice 4.